λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,865,752
54,865,752
23 × 3 × 59 × 38747
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 59 × 38747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 139,492,800
Proper Divisor Sum 84,627,048
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #54865751 ← → #54865757

Radix Representation

Decimal 54865752
Binary 11010001010010111101011000 (26 bits)
Octal 0o321227530
Hexadecimal 0x3452F58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1,416 38,747 77,494 116,241 154,988 232,482 309,976 464,964 929,928 2,286,073 4,572,146 6,858,219 9,144,292 13,716,438 18,288,584 27,432,876 54,865,752

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

54,865,752 27,432,876 13,716,438 6,858,219 20,574,658 10,287,329 30,861,988 15,430,994 7,715,497 23,146,492 11,573,246 5,786,623 17,359,870 8,679,935 26,039,806 13,019,903 39,059,710 19,529,855 58,589,566 29,294,783 87,884,350 43,942,175 131,826,526 65,913,263 197,739,790 98,869,895 296,609,686 148,304,843 444,914,530 222,457,265 667,371,796 333,685,898 166,842,949 500,528,848 250,264,424 125,132,212 62,566,106 31,283,053 93,849,160 46,924,580 23,462,290 11,731,145 35,193,436 17,596,718 8,798,359 26,395,078 13,197,539 39,592,618 19,796,309 59,388,928 29,694,464 14,847,232 7,423,616 3,711,808 1,855,904 927,952 463,976 231,988 115,994 57,997

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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